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Finding the Fourth Proportional to 33,142.44, 49,707.18 and 12,361.80

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Solution

The fourth proportional to 33,142.44, 49,707.18 and 12,361.80 is: 18,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.44 : 49,707.18 = 12,361.80 : x
  2. Step 2: Convert to fraction form
    33,142.44/49,707.18 = 12,361.80/x
  3. Step 3: Cross multiply
    33,142.44x = 49,707.18 × 12,361.80
  4. Step 4: Simplify right side
    33,142.44x = 614,470,217.72
  5. Step 5: Solve for x
    x = 614,470,217.72/33,142.44
  6. Step 6: Final answer
    x = 18,540.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.